Question

A square pyramid has a side length each measuring 8 centimeters

Answer 1

80 square centimeters

Explanation:

we need to find the hypotenuse or the slant height of the triangle so 3^2+4^2 = the square root of 25 = 5

We got 4 because half of 8 is 4 and we are basically cutting the triangle in half because the height (3) is perpendicular to the side length.

8(5)/2 = 20

20(4) = 80

Answer 2

Complete question is;

A square pyramid has side lengths each measuring 8 centimeters. The height of the pyramid is 3 centimeters. What is the lateral area of the pyramid?

Answer:

Lateral area = 80 cm²

Explanation:

We are given;

Side length; a = 8 cm

Height of pyramid; h = 3 cm

Now, formula for Lateral area of pyramid = ½ × p × L

Where p is perimeter of base and L is slant length.

Since we know the side length and height of pyramid, we can find the slant height using Pythagoreas theorem.

L² = (½×side length)² + h²

L² = (½×8)² + 3²

L² = 16 + 9

L = √25

L = 5 cm

Now perimeter of square base = 4a = 4 x 8 = 32cm

So,

Lateral area = ½ × p × L = ½ × 32 × 5

Lateral area = 80 cm²